58736896 has 27 divisors (see below), whose sum is σ = 117489631. Its totient is φ = 29307136.

The previous prime is 58736891. The next prime is 58736941. The reversal of 58736896 is 69863785.

The square root of 58736896 is 7664.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58736891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 122385 + ... + 122863.

Almost surely, 2^58736896 is an apocalyptic number.

58736896 is the 7664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58736896

58736896 is an abundant number, since it is smaller than the sum of its proper divisors (58752735).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58736896 is an frugal number, since it uses more digits than its factorization.

58736896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 481 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The cubic root of 58736896 is about 388.7200996430.

It can be divided in two parts, 5873 and 6896, that added together give a square (12769 = 113²).

The spelling of 58736896 in words is "fifty-eight million, seven hundred thirty-six thousand, eight hundred ninety-six".